The New York City school board wants to estimate the mean size μ of AP statistics...
The New York City school board wants to estimate the mean size μ of AP statistics classes in New York City high schools. The board obtained the following random sample of AP statistics class sizes:
24 29 29 23 25 24 33 26 24 29 27 26
22 32 24 21 19 29 31 26 29 31 16
Question 1a. Use the data above to construct a 90% confidence interval for the mean class size μ. (calculate y and s to 3 decimal places).
lower bound of confidence interval?
upper bound of confidence interval?
Question 1b. Mark the following statement as true or false: The probability is 0.90 that the mean size μ of high school classes is contained in the interval calculated above.
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The New York City school board wants to estimate the mean size μ
of AP statistics...
The New York City school board wants to estimate the mean size μ of AP statistics...
The New York City school board wants to estimate the mean size μ of AP statistics classes in New York City high schools. The board obtained the following random sample of AP statistics class sizes: 24 29 29 23 25 24 33 26 24 29 27 26 22 32 24 21 19 29 31 26 29 31 16 Question 1. Use the data above to construct a 99% confidence interval for the mean class size μ. (calculate y and s...
Kindergarten places in New York City are very competitive; the acceptance rate at several public schools...
Kindergarten places in New York City are very competitive; the acceptance rate at several public schools is lower than that of Columbia University. For one particular school, children are required to do a test with a school-appointed psychologist, and following is a random sample of 10 test scores: 101 107 117 120 115 107 112 109 101 111. (c) Assuming the test scores have a normal distribution, construct a 95% confidence interval for the population mean. (d) Interpret the confidence...
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy...
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy High Grant High n-41 n=61 x = 26.43 y = 24.51 =4.02 s=3.15 a) Use a = 0.05 to test the claim that the mean class size at McClatchy is different than at Grant High School. b) Construct a 90% Confidence Interval for uli - u2. XIV. (Hint: See 7.3) Consider the following typing speeds before and after taking a typing class. Before: 37...
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy...
XIII. (Hint: See 7.1) Consider the following statistics
regarding class sizes at two high schools. McClatchy High: n=41, x
= 26.43, s=4.02
Grant High: n=61, y = 24.51, s=3.15
a) Use α = 0.05 to test the claim that the mean class size at
McClatchy is different than at Grant High School.
b) Construct a 90% Confidence Interval for μ1 – μ2.
XIV. (Hint: See 7.3) Consider the following typing speeds before
and after taking a typing class.
After: 44...
Scores on Professor Combs Statistics Final Exams have a long term history of being normally distributed with a mean of μ=70 and a standard deviation of σ=8
Scores on Professor Combs Statistics Final Exams have a long term history of being normally distributed with a mean of μ=70 and a standard deviation of σ=8 a.) Find the probability that a single student will score above a 75 on the Final exam. b.) Find the probability that a single student will score between a 65 and 75 on the Final exam. c.) Find the probability that an entire class of 20 students will have a class average above a 75 on...
Confidence interval for the mean: Hoping to lure more shoppers downtown, a city builds a new...
Confidence interval for the mean: Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. During a two month period (n = 44 days), daily fees collected average $126. Assume it is known that weekly fees have a standard deviation of - $15. a) It is not known that the daily collected fees follow a Normal Dist: Why is it...
New Data Show Few New York Teachers of Color in the Pipeline Educators blame cumbersome paths...
New Data Show Few New York Teachers of Color in the Pipeline Educators blame cumbersome paths to certification, insufficient respect for the profession and low starting salaries. New York school districts have long sought to diversify their teaching ranks, which are mostly white overall, to better reflect the backgrounds of their students. A new study of the pipeline of potential staff highlights the difficulty of making headway. At teacher preparation programs statewide, only 11% of people who completed master’s degrees...
A consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly-selected people in different boroughs. There were a n...
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3. Z-test for the population mean u (o known) Hosmer Winery (on Cayuga Lake, New York)...
3. Z-test for the population mean u (o known) Hosmer Winery (on Cayuga Lake, New York) manufactures and bottles wine for sale. They have a machine that automatically fills the bottles. The amount of wine that the machine dispenses will naturally vary slightly from bottle to bottle. To determine whether the machine is working correctly, bottles are occasionally sampled and the volume of wine is measured. One particular sample of eight bottles showed the following amounts of wine (in milliliters):...
Warranty for Alpha Tires 1. Introduction Alpha Tire Company wishes to offer a warranty for their...
Warranty for Alpha Tires 1. Introduction Alpha Tire Company wishes to offer a warranty for their tires. In order to perform an assessment of the tires' durability, a sample of 41 newly manufactured tires is selected at random. The mileage at which each tire will fail needs to be determined. Rather than driving the tires around for months until they fail naturally (field test), the tires are installed on a special machine that simulates wear and tear (lab test). The...
Kindergarten places in New York City are very competitive; the acceptance rate at several public schools is lower than that of Columbia University. For one particular school, children are required to do a test with a school-appointed psychologist, and following is a random sample of 10 test scores: 101 107 117 120 115 107 112 109 101 111. (c) Assuming the test scores have a normal distribution, construct a 95% confidence interval for the population mean. (d) Interpret the confidence...
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy High Grant High n-41 n=61 x = 26.43 y = 24.51 =4.02 s=3.15 a) Use a = 0.05 to test the claim that the mean class size at McClatchy is different than at Grant High School. b) Construct a 90% Confidence Interval for uli - u2. XIV. (Hint: See 7.3) Consider the following typing speeds before and after taking a typing class. Before: 37...
XIII. (Hint: See 7.1) Consider the following statistics
regarding class sizes at two high schools. McClatchy High: n=41, x
= 26.43, s=4.02
Grant High: n=61, y = 24.51, s=3.15
a) Use α = 0.05 to test the claim that the mean class size at
McClatchy is different than at Grant High School.
b) Construct a 90% Confidence Interval for μ1 – μ2.
XIV. (Hint: See 7.3) Consider the following typing speeds before
and after taking a typing class.
After: 44...
Confidence interval for the mean: Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. During a two month period (n = 44 days), daily fees collected average $126. Assume it is known that weekly fees have a standard deviation of - $15. a) It is not known that the daily collected fees follow a Normal Dist: Why is it...
3. Z-test for the population mean u (o known) Hosmer Winery (on Cayuga Lake, New York) manufactures and bottles wine for sale. They have a machine that automatically fills the bottles. The amount of wine that the machine dispenses will naturally vary slightly from bottle to bottle. To determine whether the machine is working correctly, bottles are occasionally sampled and the volume of wine is measured. One particular sample of eight bottles showed the following amounts of wine (in milliliters):...
Warranty for Alpha Tires 1. Introduction Alpha Tire Company wishes to offer a warranty for their tires. In order to perform an assessment of the tires' durability, a sample of 41 newly manufactured tires is selected at random. The mileage at which each tire will fail needs to be determined. Rather than driving the tires around for months until they fail naturally (field test), the tires are installed on a special machine that simulates wear and tear (lab test). The...
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